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Simplifying 7(z + 3) = 2z + -4 Reorder the terms: 7(3 + z) = 2z + -4 (3 * 7 + z * 7) = 2z + -4 (21 + 7z) = 2z + -4 Reorder the terms: 21 + 7z = -4 + 2z Solving 21 + 7z = -4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 21 + 7z + -2z = -4 + 2z + -2z Combine like terms: 7z + -2z = 5z 21 + 5z = -4 + 2z + -2z Combine like terms: 2z + -2z = 0 21 + 5z = -4 + 0 21 + 5z = -4 Add '-21' to each side of the equation. 21 + -21 + 5z = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 5z = -4 + -21 5z = -4 + -21 Combine like terms: -4 + -21 = -25 5z = -25 Divide each side by '5'. z = -5 Simplifying z = -5
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